Complex Numbers

  • Thread starter GreenPrint
  • Start date
  • #1
1,196
0

Homework Statement



Evaluate (find the real and complex components) of the following numbers, in either rectangular or polar form:

[itex]\sqrt{\frac{1+j}{4-8j}}[/itex]

Homework Equations





The Attempt at a Solution



I get to here and am not sure where to go from here

[itex]\sqrt{-1/20+3/20j}[/itex]

I noticed that I can't used euler's identity here because (-1/20)^2+(3/20)^2 is not one. Thanks for any help you can provide

Homework Statement





Homework Equations





The Attempt at a Solution

 

Answers and Replies

  • #2
Dick
Science Advisor
Homework Helper
26,260
619
This would be a good time to change -1/20+3j/20 to polar form.
 
  • #3
jbunniii
Science Advisor
Homework Helper
Insights Author
Gold Member
3,473
255
I noticed that I can't used euler's identity here because (-1/20)^2+(3/20)^2 is not one.
Can you factor out a real number from [itex]-1/20 + 3i/20[/itex] so that what remains has unit magnitude? i.e. write it in the form

[tex]\frac{-1}{20} + \frac{3i}{20} = r(a + ib)[/tex]

where [itex]a^2 + b^2 = 1[/itex]
 

Related Threads on Complex Numbers

  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
2
Views
924
  • Last Post
Replies
2
Views
887
  • Last Post
Replies
9
Views
2K
  • Last Post
Replies
2
Views
2K
  • Last Post
Replies
3
Views
2K
  • Last Post
Replies
1
Views
2K
  • Last Post
Replies
4
Views
1K
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
6
Views
511
Top